An Answer to Every Question

I was reading in last December's Ensign and I found an article that I thought was interesting. The title is what caught my attention, An Answer for Every "What If".  It appealed to my desire for some universal statement that can cover all sorts of situations, and it certainly started to. The author uses the Atonement to answer questions about "what if [something bad] happened?" The Atonement of Jesus Christ is the most amazing and powerful event that has ever happened on this planet, and it covers every injustice and injury possible. The Atonement can, if you let it, answer every "why me?" or "what if...?" question bringing you down.

He will fix all injustices and uncertainties

However, there are also other questions we might have. We might not understand the "Why...?" or the "How...?" or any number of things. This is a fine place to be! Having a question is part of the process of gaining knowledge. If we have a question, asking an authority will get us the answer. For instance, if we want to know the amount $100 from today would be equivalent in 1801 we could ask a data-bank instead of asking a stranger or somebody not trained to know the answer. Questions are best answered from a trustworthy source. However, all human based information has the potential for error. Representatives might be biased towards their company, any human can make a mistake, and even data-banks could have erroneous information. I sometimes wonder, where can we go to find a trustworthy source?

This is something that I, as a stranger (or even if you actually know me) on the other side of the Internet, cannot answer definitively for you. You are currently reading the words of a representative of my church, and I said earlier that representatives might be biased. This is why I put so much emphasis on reading the Book of Mormon and praying to know if it's true. While I cannot give you perfect knowledge, the Holy Ghost can and will. Moroni teaches this very principle; in Moroni 10:3-5 he exhorts everybody to ask to receive knowledge (I talked about these scriptures in a series of posts a while back). I especially like the shortest of those three verses: "And by the power of the Holy Ghost ye may know the truth of all things." If there is anybody you can trust, it is God, who speaks through the Holy Ghost. He is the most trustworthy source of information possible, and if you sincerely desire, also the most available source. So, give it a try! What is there to lose (besides some time)? Or, more importantly, what is there to gain (measureless joy in this life and the next)?

Euler's Identity

Screen cap of the Identity,
by way of WolframAlpha

If you were to name the single most beautiful equation, what would you say? Would you say the first thing to come into your mind, such as 2+2=4? Something a bit more complex but still conceivable, such as the Pythagorean Theorem? Or would you agree with the readers of The Mathematical Intelligencer and name Euler's Identity as number one?

So, what is Euler's Identity if it's so great? Simple explanation, check Wikipedia. It is based off of Euler's Theorem, and combines 5 amazing numbers, as explained in the article. I've seen the proof, yet it still boggles my mind a little bit to think that numbers as hard to understand as e and π could be reconciled into a simple, logical number, let alone throwing i into the mix. Despite the difficulty of fully understanding this concept, I still hold it as a fact and I think that this is a wonderful example of math working despite our lack of knowledge of how it works.

I've mentioned this idea of knowledge based on faith before. Just as I have seen the proof of this identity and can tell you that it is good, I've tested The Book of Mormon and can tell you it is true. You need to do this for yourself, since that is the only sure way you can learn of the truth. You will discover a personal relationship with Jesus Christ and learn that The Church of Jesus Christ of Latter-day Saints is the restored church on the earth. You have my testimony before you, and now you need to test it out for yourself.

On Infinite

If you were asked to describe infinity, what would you say? The basic definition is "An unbounded quantity greater than every real number" (WolframAlpha). If you follow the link, you'll see that there is a more in depth answer given as well, which includes some mathematical stuff. However, can you grasp it in its entirety? For example, take an infinite amount of something. Take a finite amount away, be it 1 or 10^100000000  (that's a 1 with 100000000 zeros after it) or even more, and you still have an infinite amount. This is something that is basically impossible for the human mind to grasp, since when we think of an amount we almost always can think of a larger amount.

Now, there are many scriptures that reference infinite or a similar word, eternity. What is an unfortunate fact of being human is that we cannot fathom what eternity means, yet we are told to be "even as [Jesus Christ]" (3 Nephi 27:27) and to be "perfect, even as [our] Father which is in heaven is perfect" (Matthew 5:48). How can we, imperfect humans that we are, become perfect?

The yellow is what is being measured

Instead of answering that immediately, try out a thought experiment and think of the largest number that you can think of. Now, add one to it. You now have a larger number. You can keep going forever. Now, think of the smallest (absolute value) number you can. Then divide it by 2. Same problem. Yet the smallest numbers, when added together, can still be greater than the largest. Don't believe me? Take it to a calculator. What this link is doing is taking 1/1 plus 1/2 and so forth until it is 1/∞(which equals 0), or is the area under the graph of 1/x (represented by the yellow just above), and comparing it to 1000000. The smallest numbers added together are infinite, and so they are naturally bigger than any number you can input.

How does this apply to us becoming perfect? Each step we take towards perfection is small in the scheme of things. We become better people "line upon line, precept upon precept, here a little and there a little" (2 Nephi 28:30). It is through the combination of all the "lines," "precepts," and "little" things that we eventually become perfect. Just as the integral of 1/x eventually becomes infinite, so too do our lives eventually become perfect as we use Christ's strengthening and infinite Atonement to better our lives a little bit each day.